Book description
Part of the Jones and Bartlett Learning International Series in Mathematics
Written for the oneterm introductory probability and statistics course for mid to upperlevel math and science majors, Essentials of Mathematical Statistics combines the topics generally found in mainstream elementary statistics books with the essentials of the underlying theory. The book begins with an axiomatic treatment of probability followed by chapters on discrete and continuous random variables and their associated distributions. It then introduces basic statistical concepts including summarizing data and interval parameter estimation, stressing the connection between probability and statistics. Final chapters introduce hypothesis testing, regression, and nonparametric techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand.
Key Features of Essentials of Mathematical Statistics:
 Endofsection exercises range from computational to conceptual to theoretical.
 Many sections include a subsection titled “Software Calculations” which gives detailed descriptions of how to perform the calculations discussed in the section using the software Minitab, R, Excel, and the TI83/84 calculators.
 Provides a clear balance between conceptual understanding and theoretical understanding
 Exercises throughout vary in level of difficulty and scope.
Table of contents
 Cover
 Title Page
 Copyright
 Contents
 Preface
 1 Basics of Probability
 2 Discrete Random Variables

3 Continuous Random Variables
 3.1 Introduction
 3.2 Definitions
 3.3 The Uniform and Exponential Distributions
 3.4 The Normal Distribution
 3.5 Functions of Continuous Random Variables
 3.6 Joint Distributions
 3.7 Functions of Independent Random Variables
 3.8 The Central Limit Theorem
 3.9 The Gamma and Related Distributions
 3.10 Approximating the Binomial Distribution

4 Statistics
 4.1 What Is Statistics?
 4.2 Summarizing Data
 4.3 Maximum Likelihood Estimates
 4.4 Sampling Distributions
 4.5 Confidence Intervals for a Proportion
 4.6 Confidence Intervals for a Mean
 4.7 Confidence Intervals for a Variance
 4.8 Confidence Intervals for Differences
 4.9 Sample Size
 4.10 Assessing Normality
 5 Hypothesis Testing
 6 Simple Regression
 7 Nonparametric Statistics

A Proofs of Selected Theorems
 A.1 A Proof of Theorem 3.7.5
 A.2 A Proof of the Central Limit Theorem
 A.3 A Proof of the Limit Theorem of De Moivre and Laplace
 A.4 A Proof of Theorem 4.6.1
 A.5 Confidence Intervals for the Difference of Two Means
 A.6 Coefficients in the Linear Regression Equation
 A.7 Wilcoxon SignedRank Test Distribution
 B Software Basics
 C Tables
 D Answers to Selected Exercises
 Index
Product information
 Title: Essentials of Mathematical Statistics
 Author(s):
 Release date: February 2013
 Publisher(s): Jones & Bartlett Learning
 ISBN: 9781284031768
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